Question

How many solutions does 25-4x=15-3x+10-x have

Answer 1

25 - 4x = 15 - 2x + 10
-10 - 10
15 - 4x = 15 - 2x
-15 -15
-4x = - 2x
no solution

Answer 2

Answer: The given equation will have infinite number of solutions.

Step-by-step explanation: We are given to check the number of solutions to the following equation :

`25-4x=15-3x+10-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To find the number of solutions, we must solve the given equation.

The solution of equation (i) is

`25-4x=15-3x+10-x\\\\\Rightarrow 25-4x=25-4x\\\\\Rightarrow 4x-4x=25-25\\\\\Rightarrow 0=0,` which is always true.

Thus, the given equation will have infinite number of solutions.